"I have to say, before I had the twins, I felt that about her," George says of Amal, who gave birth to their twins, Alexander and Ella, last June. "I felt that I met someone who, you know, I would absolutely trade my life for. I'd met someone that, her life meant more to me than my life, and I had never had that experience before."

"She is sort of this remarkable human being, and now mother, which is something, I suppose, you should assume she would be wonderful at as well, but when you see it in person, it makes you feel incredibly proud and also incredibly small," he continues.

And if that wasn't heartwarming enough, George and Amal also share the story of why they decided to sponsor an Iraqi refugee fleeing ISIS violence. With help from George's parents, the two brought 23-year-old Hazim Avdal to the United States last year. He's now a student at the University of Chicago.

"I remember being so struck by [Hazim's] courage but also just this amazing spirit and how he spoke about even after everything he'd lost, he spoke about a desire for justice, not revenge," Amal explains. "He spoke about his dream of one day studying in the U.S. and I know we all had the same thought which was, well, maybe there's something we can do to help with that."

George's guest appearance on My Next Guest Needs No Introduction With David Letterman begins streaming Friday on Netflix. In the meantime, watch the video below to hear George recall the exact moment he met Amal.